Analytic Uniformly Bounded Representations of SU(1, n + 1)

Stanke, Ronald J.

doi:10.2307/1999795

Transactions of the American Mathematical Society

1985

DOI: 10.2307/1999795

|View full text |Cite

Analytic Uniformly Bounded Representations of SU(1, n + 1)

Ronald J. Stanke¹

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

1991

Publication Types

Select...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

(1 citation statement)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The convolution operators can then be used to obtain the complementary series and uniformly bounded representations as done in [3,7,18], etc. This, however, is not our intent.…”

mentioning

confidence: 99%

Homogeneous distributions on the Heisenberg group and representations of ${\rm SU}(2,1)$

Fabec¹

1991

Trans. Amer. Math. Soc.

View full text Add to dashboard Cite

A 'Fourier' transform of tempered distributions on the Heisenberg group is defined to analyze homogeneous distributions relative the group of dilations (z, t) >-, (rz, r t), r e R. An inversion formula is derived for the abelian central Fourier transform of the distribution. These formulas are applied to the family of homogeneous distributions defining the intertwining operators for the group SU(2, 1). Explicit unitary structures are determined on subquotient representations and their spectral decompositions on the minimal parabolic subgroup are obtained.

show abstract

“…The convolution operators can then be used to obtain the complementary series and uniformly bounded representations as done in [3,7,18], etc. This, however, is not our intent.…”

mentioning

confidence: 99%

Homogeneous distributions on the Heisenberg group and representations of ${\rm SU}(2,1)$

Fabec¹

1991

Trans. Amer. Math. Soc.

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Analytic Uniformly Bounded Representations of SU(1, n + 1)

Cited by 1 publication

References 0 publications

Homogeneous distributions on the Heisenberg group and representations of ${\rm SU}(2,1)$

Homogeneous distributions on the Heisenberg group and representations of ${\rm SU}(2,1)$

Contact Info

Product

Resources

About